AFAICT the universe is eternal. As to switching expansion on and off (if it even switches on and off), figuring that out would advance our understanding of cosmology as much as learning the heavens don't revolve around the Earth. When I try to visualize your proposition, all I come up with is something similar to tides. Our biggest problem is the entirety of human existence is such a small fraction of even the known age of the universe and our ability to effectively measure and study its change a tiny fraction of that existence (assuming we can do it at all). It seems to me Hubble, Webb and most other space missions have helped us take a giant step in understanding how things work but also have raised as many questions as they have answered.